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Finding the Fourth Proportional to 2,606.52, 3,596.97 and 1,411.52

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Solution

The fourth proportional to 2,606.52, 3,596.97 and 1,411.52 is: 1,947.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.52 : 3,596.97 = 1,411.52 : x
  2. Step 2: Convert to fraction form
    2,606.52/3,596.97 = 1,411.52/x
  3. Step 3: Cross multiply
    2,606.52x = 3,596.97 × 1,411.52
  4. Step 4: Simplify right side
    2,606.52x = 5,077,177.11
  5. Step 5: Solve for x
    x = 5,077,177.11/2,606.52
  6. Step 6: Final answer
    x = 1,947.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.